i dont have the asnwer to this polynomial q, what is it (1 Viewer)
- Thread starter yashbb
- Start date
Using DESMOS the point G is )
. The other intersection point )
of the two graphs is not valid in this case as at this point the graph 
of cuts through the graph of 
(In layman terms a tangent is a line that just touches a curve at one point, rather than slicing through it). At the point )
the tangent line just touches the graph of , which matches the definition of what a tangent is.
In an exam situation it would be best to draw both of the graphs and to then determine which of the two intersection points is the right one.
In an exam situation it would be best to draw both of the graphs and to then determine which of the two intersection points is the right one.
In an exam, you would be expected to say that the condition for the tangent to meet the curve is
This cubic equation must have three roots, but because the line is a tangent to the curve, the
-coordinate of that point (and hence the corresponding solution to the cubic) must be a double root. Thus, let the cubic equation have roots 
and apply root theory to deduce that 
and 
.
This cubic equation must have three roots, but because the line is a tangent to the curve, the
yep got it correct thank you so muchhhhhIn an exam, you would be expected to say that the condition for the tangent to meet the curve is
This cubic equation must have three roots, but because the line is a tangent to the curve, the